
"""simple docstring"""





import argparse
import os
import re


__magic_name__			=     """src/transformers"""

# Pattern that looks at the indentation in a line.
__magic_name__			=     re.compile(R"^(\s*)\S")
# Pattern that matches `"key":" and puts `key` in group 0.
__magic_name__			=     re.compile(R"^\s*\"([^\"]+)\":")
# Pattern that matches `_import_structure["key"]` and puts `key` in group 0.
__magic_name__			=     re.compile(R"^\s*_import_structure\[\"([^\"]+)\"\]")
# Pattern that matches `"key",` and puts `key` in group 0.
__magic_name__			=     re.compile(R"^\s*\"([^\"]+)\",\s*$")
# Pattern that matches any `[stuff]` and puts `stuff` in group 0.
__magic_name__			=     re.compile(R"\[([^\]]+)\]")



def 		_lowerCAmelCase							(							UpperCamelCase_							):
		__SCREAMING_SNAKE_CASE				=					_re_indent.search(__snake_case							)
		return "" if search is None else search.groups()[0]



def 		_lowerCAmelCase							(							UpperCamelCase_    ,							UpperCamelCase_=""    ,							UpperCamelCase_=None    ,							UpperCamelCase_=None							):
		__SCREAMING_SNAKE_CASE				=					0
		__SCREAMING_SNAKE_CASE				=					code.split("""\n"""							)
		if start_prompt is not None:
				while not lines[index].startswith(__snake_case							):
						index += 1
				__SCREAMING_SNAKE_CASE				=					["""\n""".join(lines[:index]							)]
		else:
				__SCREAMING_SNAKE_CASE				=					[]

		# We split into blocks until we get to the `end_prompt` (or the end of the block).
		__SCREAMING_SNAKE_CASE				=					[lines[index]]
		index += 1
		while index < len(__snake_case							) and (end_prompt is None or not lines[index].startswith(__snake_case							)):
				if len(lines[index]							) > 0 and get_indent(lines[index]							) == indent_level:
						if len(__snake_case							) > 0 and get_indent(current_block[-1]							).startswith(indent_level + """ """							):
								current_block.append(lines[index]							)
								blocks.append("""\n""".join(__snake_case							)							)
								if index < len(__snake_case							) - 1:
										__SCREAMING_SNAKE_CASE				=					[lines[index + 1]]
										index += 1
								else:
										__SCREAMING_SNAKE_CASE				=					[]
						else:
								blocks.append("""\n""".join(__snake_case							)							)
								__SCREAMING_SNAKE_CASE				=					[lines[index]]
				else:
						current_block.append(lines[index]							)
				index += 1

		# Adds current block if it's nonempty.
		if len(__snake_case							) > 0:
				blocks.append("""\n""".join(__snake_case							)							)

		# Add final block after end_prompt if provided.
		if end_prompt is not None and index < len(__snake_case							):
				blocks.append("""\n""".join(lines[index:]							)							)

		return blocks



def 		_lowerCAmelCase							(							UpperCamelCase_							):





		def _inner(UpperCamelCase_							):
				return key(__snake_case							).lower().replace("""_"""    ,							""""""							)

		return _inner



def 		_lowerCAmelCase							(							UpperCamelCase_    ,							UpperCamelCase_=None							):





		def noop(UpperCamelCase_							):
				return x

		if key is None:
				__SCREAMING_SNAKE_CASE				=					noop
		# Constants are all uppercase, they go first.
		__SCREAMING_SNAKE_CASE				=					[obj for obj in objects if key(__snake_case							).isupper()]
		# Classes are not all uppercase but start with a capital, they go second.
		__SCREAMING_SNAKE_CASE				=					[obj for obj in objects if key(__snake_case							)[0].isupper() and not key(__snake_case							).isupper()]
		# Functions begin with a lowercase, they go last.
		__SCREAMING_SNAKE_CASE				=					[obj for obj in objects if not key(__snake_case							)[0].isupper()]

		__SCREAMING_SNAKE_CASE				=					ignore_underscore(__snake_case							)
		return sorted(__snake_case    ,							key=__snake_case							) + sorted(__snake_case    ,							key=__snake_case							) + sorted(__snake_case    ,							key=__snake_case							)



def 		_lowerCAmelCase							(							UpperCamelCase_							):





		def _replace(UpperCamelCase_							):
				__SCREAMING_SNAKE_CASE				=					match.groups()[0]
				if "," not in imports:
						return f"[{imports}]"
				__SCREAMING_SNAKE_CASE				=					[part.strip().replace("""\""""    ,							""""""							) for part in imports.split(""","""							)]
				# We will have a final empty element if the line finished with a comma.
				if len(keys[-1]							) == 0:
						__SCREAMING_SNAKE_CASE				=					keys[:-1]
				return "[" + ", ".join([f"\"{k}\"" for k in sort_objects(__snake_case							)]							) + "]"

		__SCREAMING_SNAKE_CASE				=					import_statement.split("""\n"""							)
		if len(__snake_case							) > 3:
				# Here we have to sort internal imports that are on several lines (one per name):
				# key: [
				#     "object1",
				#     "object2",
				#     ...
				# ]

				# We may have to ignore one or two lines on each side.
				__SCREAMING_SNAKE_CASE				=					2 if lines[1].strip() == """[""" else 1
				__SCREAMING_SNAKE_CASE				=					[(i, _re_strip_line.search(__snake_case							).groups()[0]) for i, line in enumerate(lines[idx:-idx]							)]
				__SCREAMING_SNAKE_CASE				=					sort_objects(__snake_case    ,							key=lambda UpperCamelCase_							: x[1]							)
				__SCREAMING_SNAKE_CASE				=					[lines[x[0] + idx] for x in sorted_indices]
				return "\n".join(lines[:idx] + sorted_lines + lines[-idx:]							)
		elif len(__snake_case							) == 3:
				# Here we have to sort internal imports that are on one separate line:
				# key: [
				#     "object1", "object2", ...
				# ]
				if _re_bracket_content.search(lines[1]							) is not None:
						__SCREAMING_SNAKE_CASE				=					_re_bracket_content.sub(_replace    ,							lines[1]							)
				else:
						__SCREAMING_SNAKE_CASE				=					[part.strip().replace("""\""""    ,							""""""							) for part in lines[1].split(""","""							)]
						# We will have a final empty element if the line finished with a comma.
						if len(keys[-1]							) == 0:
								__SCREAMING_SNAKE_CASE				=					keys[:-1]
						__SCREAMING_SNAKE_CASE				=					get_indent(lines[1]							) + """, """.join([f"\"{k}\"" for k in sort_objects(__snake_case							)]							)
				return "\n".join(__snake_case							)
		else:
				# Finally we have to deal with imports fitting on one line
				__SCREAMING_SNAKE_CASE				=					_re_bracket_content.sub(_replace    ,							__snake_case							)
				return import_statement



def 		_lowerCAmelCase							(							UpperCamelCase_    ,							UpperCamelCase_=True							):





		with open(__snake_case    ,							encoding="""utf-8"""							) as f:
				__SCREAMING_SNAKE_CASE				=					f.read()

		if "_import_structure" not in code:
				return

		# Blocks of indent level 0
		__SCREAMING_SNAKE_CASE				=					split_code_in_indented_blocks(
		    __snake_case    ,							start_prompt="""_import_structure = {"""    ,							end_prompt="""if TYPE_CHECKING:"""							)

		# We ignore block 0 (everything untils start_prompt) and the last block (everything after end_prompt).
		for block_idx in range(1    ,							len(__snake_case							) - 1							):
				# Check if the block contains some `_import_structure`s thingy to sort.
				__SCREAMING_SNAKE_CASE				=					main_blocks[block_idx]
				__SCREAMING_SNAKE_CASE				=					block.split("""\n"""							)

				# Get to the start of the imports.
				__SCREAMING_SNAKE_CASE				=					0
				while line_idx < len(__snake_case							) and "_import_structure" not in block_lines[line_idx]:
						# Skip dummy import blocks
						if "import dummy" in block_lines[line_idx]:
								__SCREAMING_SNAKE_CASE				=					len(__snake_case							)
						else:
								line_idx += 1
				if line_idx >= len(__snake_case							):
						continue

				# Ignore beginning and last line: they don't contain anything.
				__SCREAMING_SNAKE_CASE				=					"""\n""".join(block_lines[line_idx:-1]							)
				__SCREAMING_SNAKE_CASE				=					get_indent(block_lines[1]							)
				# Slit the internal block into blocks of indent level 1.
				__SCREAMING_SNAKE_CASE				=					split_code_in_indented_blocks(__snake_case    ,							indent_level=__snake_case							)
				# We have two categories of import key: list or _import_structure[key].append/extend
				__SCREAMING_SNAKE_CASE				=					_re_direct_key if """_import_structure = {""" in block_lines[0] else _re_indirect_key
				# Grab the keys, but there is a trap: some lines are empty or just comments.
				__SCREAMING_SNAKE_CASE				=					[(pattern.search(__snake_case							).groups()[0] if pattern.search(__snake_case							) is not None else None) for b in internal_blocks]
				# We only sort the lines with a key.
				__SCREAMING_SNAKE_CASE				=					[(i, key) for i, key in enumerate(__snake_case							) if key is not None]
				__SCREAMING_SNAKE_CASE				=					[x[0] for x in sorted(__snake_case    ,							key=lambda UpperCamelCase_							: x[1]							)]

				# We reorder the blocks by leaving empty lines/comments as they were and reorder the rest.
				__SCREAMING_SNAKE_CASE				=					0
				__SCREAMING_SNAKE_CASE				=					[]
				for i in range(len(__snake_case							)							):
						if keys[i] is None:
								reorderded_blocks.append(internal_blocks[i]							)
						else:
								__SCREAMING_SNAKE_CASE				=					sort_objects_in_import(internal_blocks[sorted_indices[count]]							)
								reorderded_blocks.append(__snake_case							)
								count += 1

        # And we put our main block back together with its first and last line.
				__SCREAMING_SNAKE_CASE				=					"""\n""".join(block_lines[:line_idx] + reorderded_blocks + [block_lines[-1]]							)

		if code != "\n".join(__snake_case							):
				if check_only:
						return True
				else:
						print(f"Overwriting {file}."							)
						with open(__snake_case    ,							"""w"""    ,							encoding="""utf-8"""							) as f:
								f.write("""\n""".join(__snake_case							)							)



def 		_lowerCAmelCase							(							UpperCamelCase_=True							):
		__SCREAMING_SNAKE_CASE				=					[]
		for root, _, files in os.walk(__snake_case							):
				if "__init__.py" in files:
						__SCREAMING_SNAKE_CASE				=					sort_imports(os.path.join(__snake_case    ,							"""__init__.py"""							)    ,							check_only=__snake_case							)
						if result:
								__SCREAMING_SNAKE_CASE				=					[os.path.join(__snake_case    ,							"""__init__.py"""							)]
		if len(__snake_case							) > 0:
				raise ValueError(f"Would overwrite {len(__snake_case							)} files, run `make style`."							)


if __name__ == "__main__":
							__magic_name__			=     argparse.ArgumentParser()
							parser.add_argument("--check_only", action="store_true", help="Whether to only check or fix style.")
							__magic_name__			=     parser.parse_args()

							sort_imports_in_all_inits(check_only=args.check_only)












"""simple docstring"""
def 							A						(				__snake_case: int = 3 ,     __snake_case: int = 7 ,     __snake_case: int = 1_0_0_0_0_0_0  )    ->		int:

       """simple docstring"""





       __magic_name__      				=    0
       __magic_name__      				=    1

       for current_denominator in range(1 ,     limit + 1  ):
              __magic_name__      				=    current_denominator * numerator // denominator
              if current_denominator % denominator == 0:
                     current_numerator -= 1
              if current_numerator * max_denominator > current_denominator * max_numerator:
                     __magic_name__      				=    current_numerator
                     __magic_name__      				=    current_denominator
       return max_numerator


if __name__ == "__main__":
 print(solution(numerator=3, denominator=7, limit=1_0_0_0_0_0_0))